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Finding the Fourth Proportional to 820.64, 1,132.64 and 510.08

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Solution

The fourth proportional to 820.64, 1,132.64 and 510.08 is: 704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.64 : 1,132.64 = 510.08 : x
  2. Step 2: Convert to fraction form
    820.64/1,132.64 = 510.08/x
  3. Step 3: Cross multiply
    820.64x = 1,132.64 × 510.08
  4. Step 4: Simplify right side
    820.64x = 577,737.01
  5. Step 5: Solve for x
    x = 577,737.01/820.64
  6. Step 6: Final answer
    x = 704.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.